Stability of a strongly stabilizing control for systems with a skew-adjoint operator in Hilbert space

Citation
Gm. Sklyar et Av. Rezounenko, Stability of a strongly stabilizing control for systems with a skew-adjoint operator in Hilbert space, J MATH ANAL, 254(1), 2001, pp. 1-11
Citations number
11
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
254
Issue
1
Year of publication
2001
Pages
1 - 11
Database
ISI
SICI code
0022-247X(20010201)254:1<1:SOASSC>2.0.ZU;2-I
Abstract
The stabilization problem of systems with a skew-adjoint operator in a Hilb ert space is considered. We prove that an one dimensional stabilizing feedb ack control allows a wide class of perturbations such that the system under consideration is strongly stabilizable with the aim of the perturbed contr ols. (C) 2001 Academic Press.